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Class Math notes
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- 11th Grade
This is Grade 11 Math notes that touch on the topics of Factoring, Completing the Square, Function, Domain and Range, Rational exponents and solving linear equations.
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Lesson 1: Functions, Domain, and RangeTo write a function using function notation, the form f(x) = … is used to indicate a function, f, with
independent variable x.
The notation f(3) means the value obtained when x = 3 is substituted. f(3) is read as “f at 3” or “f of 3.”
Although f is the most popular letter used when writing function notation, any other letter of the alphabet can
be used.
1) Given the graph of y=f(x), find:
a) f(2) =
b) f(8) =
c) f(−2) =
d) The solution(s) to f(x) = 6
e) The solution(s) to f(x) = 0
f) The solution(s) to f(x) = 10
, Relation: an identified pattern between two variables that may be represented as ordered pairs, table of
values, mapping diagram, graph, or an equation.
Function: a relation in which each value of the independent variable corresponds to exactly one value of the
dependent variable.
Vertical line test: A method of determining whether a relation is a function. If every vertical line intersects
the relation at only one point, then the relation is a function.
Table of Values Mapping Diagram Graph
Ordered Pairs Equation
{(−1, 0), (0, 3), (3, 7), (5, −11)} y = 2x + 3
Domain: the set of first coordinates (x), the set of elements to which a variable is limited.
Range: the set of second coordinates (y), the set of values a function may take on
1) Circle whether the following relations are functions. Then, state the domain and range.
a) Function? Yes No b) Function? Yes No c) Function? Yes No
Domain: Domain: Domain:
Range: Range: Range:
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